if you gave a little more information about what you are trying to do and what OS you are trying to do it in.
If you are trying to remove something from the GO/Network window called Servers, you can't. If it is what you are trying to do, take a look at the icon and you will see the Alias symbol on it. It is pointing to your machine.
If it is something in one of the other folders, workgroup for instance, as long as the machine is connected to the network, it will be there.
Now, what was it you were attempting?
I tried to throw out the folders to the trash and i get error message--> you do not have enough privileges. So i go to -->get info--> to try to unlock but i cannot unlock.I tried to look for the folder under -->system preferences to delete and no luck . Thanks Artchick